Quantitative Aptitude

Quadratic Equations

137 questions across 10 exam years. Answers for this topic

Quick revision: Quadratic EquationsRules, shortcuts, how it is asked, worked examples and traps

Per paper: ~4.1
Years asked: 10 of 10
Past questions: 137

4 Aug 2019 · Shift 1

AmbitiousBaba

Directions · Q.7–12

Direction (7-12): In the following questions, two equations numbered I and II are given. You have to solve both questions and give answer among the following options. (a) ifx>y (b) ifx≥y (c) ifx<y (d) ifx≤y (e) ifx=y or the relationship cannot be established.

Q-QE-21Q.7

I. X²=16 II.Y³=64

(a) ifx>y
(b) ifx≥y
(c) ifx<y
(d) ifx≤y
(e) ifx=y or the relationship cannot be established.

Q-QE-22Q.8

I. II.

(a) ifx>y
(b) ifx≥y
(c) ifx<y
(d) ifx≤y
(e) ifx=y or the relationship cannot be established.

Note: options are the common options in the set directions; garbled in source (equations missing - probably images)

Q-QE-23Q.9

I. 10x² + 663x + 198 = 0 II. 3y² + 44y + 161 = 0

(a) ifx>y
(b) ifx≥y
(c) ifx<y
(d) ifx≤y
(e) ifx=y or the relationship cannot be established.

Q-QE-24Q.10

I. 3x² + 16x + 21 = 0 II. 6y² + 17y + 12 = 0

(a) ifx>y
(b) ifx≥y
(c) ifx<y
(d) ifx≤y
(e) ifx=y or the relationship cannot be established.

Note: options are the common options in the set directions; no answer in source

Q-QE-25Q.11

4x + 7y = 209 II. 12x – 14y + 9 = –38

(a) ifx>y
(b) ifx≥y
(c) ifx<y
(d) ifx≤y
(e) ifx=y or the relationship cannot be established.

Note: options are the common options in the set directions; linear equations, as given in source

Q-QE-26Q.12

I. x² + 10x + 24 = 0 II. 4y² – 17y + 18 = 0

(a) ifx>y
(b) ifx≥y
(c) ifx<y
(d) ifx≤y
(e) ifx=y or the relationship cannot be established.

Note: options are the common options in the set directions; answer "Ans:C" printed at top of next page in source

4 Aug 2019 · shift not stated

Career Power (Adda247)

Directions · Q.56–60

Directions (56-60): Solve the given quadratic equations and mark the correct option based on your answer— (a) x > y (b) x < y (c) x ≥ y (d) x ≤ y (e)x = y or there is no relationship

Q-QE-27Q.56

(i) x² = 81 (ii) y² – 18y + 81 = 0

(a) x > y
(b) x < y
(c) x ≥ y
(d) x ≤ y
(e) x = y or there is no relationship

Q-QE-28Q.57

(i) 4x² – 24x + 32 = 0 (ii) y² – 8y + 15 = 0

(a) x > y
(b) x < y
(c) x ≥ y
(d) x ≤ y
(e) x = y or there is no relationship

Q-QE-29Q.58

(i) x² – 21x + 108 = 0 (ii) y² – 17y + 72 = 0

(a) x > y
(b) x < y
(c) x ≥ y
(d) x ≤ y
(e) x = y or there is no relationship

Q-QE-30Q.59

(i) x² – 11x + 30 = 0 (ii) y² – 15y + 56 = 0

(a) x > y
(b) x < y
(c) x ≥ y
(d) x ≤ y
(e) x = y or there is no relationship

Q-QE-31Q.60

(i) x³ = 512 (ii) y² = 64

(a) x > y
(b) x < y
(c) x ≥ y
(d) x ≤ y
(e) x = y or there is no relationship

Directions

Quadratic Equations:

Q-QE-32

2x² – 19x + 45 =0 2y² – 15y + 28 = 0

Q-QE-33

2x² – 13x + 21 =0 y² – 12y + 35 = 0

Q-QE-34

x² – 9x + 20 = 0 2y² – 11y + 15 = 0

Q-QE-35

2x² + 13x + 18=0 2y² + 5y + 2 =0

Q-QE-36

(x-4)2 = 0, y2 – 9 = 0

Q-QE-37

x2 + 4x+3 = 0 y2 – y – 2 =0

Q-QE-38

x2 + 13x + 36 = 0 y2 + 15y + 50 = 0

Q-QE-39

4x2 + 5x + 1 = 0 5y2 + 6y + 1 = 0

Q-QE-40

x2 – 7x + 12 = 0 y2 – 11y + 30 = 0